Discrete Vortex Filaments on Arrays of Coupled Oscillators in the Nonlinear Resonant Mode

TL;DR

This paper demonstrates through numerical simulations that long-lived quantized vortex filaments can form in arrays of coupled nonlinear oscillators under resonant external forcing, revealing parameter ranges conducive to stable energy backgrounds.

Contribution

It introduces the concept of vortex filaments in coupled oscillator arrays and identifies conditions for their stable formation under resonant forcing.

Findings

Vortex structures can persist for long durations in the system.

Parameter ranges favoring vortex formation have been qualitatively identified.

Stable energy backgrounds are crucial for vortex occurrence.

Abstract

Numerical simulation has indicated that vortex structures can exist for a long time in the form of quantized filaments on arrays of coupled weakly dissipative nonlinear oscillators in a finite three-dimensional domain under a resonant external force applied at the boundary of the domain. Ranges of the parameters of the system and an external signal favorable for the formation of modulationally stable quasi-uniform energy background, which is a decisive factor for the occurrence of this phenomenon, have been qualitatively revealed.